Minimal model program information

geometry, the minimal model program is part of the birational classification of algebraic varieties. Its goal is to construct a birational model of any complex...

University. Xu is known for his work in birational geometry, the minimal model program, and the K-stability of Fano varieties. After completing his PhD...

of Mori's results to dimensions higher than three is called the minimal model program and is an active area of research in algebraic geometry. He has...

proof of boundedness of Fano varieties and contributions to the minimal model program". In his office at the University, Birkar has two photographs of...

(1980). Terminal singularities are important in the minimal model program because smooth minimal models do not always exist, and thus one must allow certain...

especially in traditional problems in algebraic geometry. Famously the minimal model program was used to construct moduli spaces of varieties of general type...

of complex manifolds and complex algebraic varieties through the minimal model program and the construction of moduli spaces sets the field apart from...

The Minimal Supersymmetric Standard Model (MSSM) is an extension to the Standard Model that realizes supersymmetry. MSSM is the minimal supersymmetrical...

definition, one could assume that X is smooth over a field, but the minimal model program has also led to the study of Fano varieties with various types of...

an ancient Egyptian mathematical papyrus Matrilysin, an enzyme Minimal model program, a branch of birational geometry Million progressive motile (million...

conjecture is a conjecture in birational geometry, more precisely in the minimal model program, stating that for every projective variety X {\displaystyle X} with...

Chomsky. Following Imre Lakatos's distinction, Chomsky presents minimalism as a program, understood as a mode of inquiry that provides a conceptual framework...

map, where k is any sufficiently divisible positive integer. The minimal model program proposed that the canonical ring of every smooth or mildly singular...

coincides with the minimal Herbrand model of the program. The fixpoint semantics suggest an algorithm for computing the minimal Herbrand model: Start with the...

geometry. Kawamata was involved in the development of the minimal model program in the 1980s. The program aims to show that every algebraic variety is birational...

Physical models of area-minimizing minimal surfaces can be made by dipping a wire frame into a soap solution, forming a soap film, which is a minimal surface...

named so because it behaves nicely from the point of view of Mori's minimal model program. In general, it is difficult to find a non-trivial example of a...

positive dimension. The ones arising from extremal contractions in the minimal model program are called Mori fibrations or Mori fiber spaces (for Shigefumi Mori)...

1, "Book on Moduli of Surfaces". Mori's minimal model program The minimal model program is a research program aiming to do birational classification of...

August 2014. Mario J. Micallef; J. Gray. "The work of Jesse Douglas on Minimal Surfaces" (PDF). Wdb.ugr.es. Archived from the original (PDF) on 6 October...

working out a radically new approach to the singularities of the minimal model program using K-stability. 2024 Jessica Fintzen for her work transforming...

Caraiani – "For diverse transformative contributions to the Langlands program, and in particular for work with Peter Scholze on the Hodge-Tate period...

Unirational variety Ruled variety Kodaira dimension Canonical ring Minimal model program Intersection theory Intersection number Chow ring Chern class Serre's...